The exponential synchronization and anti-synchronization of nonautonomous chaotic systems with uncertain parameters are studied. The adaptive controller is designed and analytic expression of the controller and the adaptive laws of parameters are given. Based on the Lyapunov stability theory, the exponential stability of the error system is proved. Numerical simulations of two nonautonomous chaotic systems with uncertain parameters are presented to illustrate the ability and effectiveness of the proposed method.

中文翻译：

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基于自适应控制的不确定参数非自治混沌系统的指数同步与反同步

研究了参数不确定的非自治混沌系统的指数同步和反同步。设计了自适应控制器，给出了控制器的解析表达式和参数的自适应规律。基于李雅普诺夫稳定性理论，证明了误差系统的指数稳定性。给出了两个具有不确定参数的非自治混沌系统的数值模拟，以说明所提出方法的能力和有效性。